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Pattern recognition tasks with geometric shapes and sequences.

A sequence of five pattern recognition exercises featuring geometric shapes including squares, stars, arrows, crosses, crescents, rectangles, and triangles in various colors and arrangements.

A sequence of five pattern recognition exercises featuring geometric shapes including squares, stars, arrows, crosses, crescents, rectangles, and triangles in various colors and arrangements.

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Show Answer Key & Explanations Step-by-step solution for: 3rd Grade Patterns | Sequence | Pattern Rule | Pattern Around Us |Math
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To solve the problem, we need to identify the pattern in each sequence and determine the next shape or figure that logically follows. Let's analyze each part step by step.

---

(i)


The sequence is:
```
Yellow square, Red star, Yellow square, Red star, Yellow square
```

- The pattern alternates between a yellow square and a red star.
- The last shape is a yellow square, so the next shape should be a red star.

Answer: Red star

---

(ii)


The sequence is:
```
Blue arrow pointing right, Blue downward arrow, Blue arrow pointing right, Blue downward arrow, Blue arrow pointing right, Blue downward arrow
```

- The pattern alternates between a blue arrow pointing right and a blue downward arrow.
- The last shape is a blue downward arrow, so the next shape should be a blue arrow pointing right.

Answer: Blue arrow pointing right

---

(iii)


The sequence is:
```
Green crescent, Orange plus sign, Green crescent, Green crescent, Orange plus sign, Orange plus sign, Green crescent, Green crescent, Orange plus sign
```

- The pattern involves groups of shapes:
- First group: Green crescent, Orange plus sign
- Second group: Green crescent, Green crescent, Orange plus sign, Orange plus sign
- Third group: Green crescent, Green crescent, Orange plus sign

- Each group increases the number of green crescents by one while keeping the orange plus signs consistent.
- The next group should have three green crescents followed by three orange plus signs.

Answer: Orange plus sign

---

(iv)


The sequence is:
```
Blue rectangle with 1 green square, Blue rectangle with 2 green squares, Blue rectangle with 3 green squares
```

- The pattern involves a blue rectangle with an increasing number of green squares.
- The number of green squares increases by 1 in each step: 1, 2, 3.
- The next step should have 4 green squares.

Answer: Blue rectangle with 4 green squares

---

(v)


The sequence is:
```
Yellow triangle, Blue diamond, Yellow triangle, Blue diamond
```

- The pattern alternates between a yellow triangle and a blue diamond.
- The last shape is a blue diamond, so the next shape should be a yellow triangle.

Answer: Yellow triangle

---

Final Answers:


(i) Red star
(ii) Blue arrow pointing right
(iii) Orange plus sign
(iv) Blue rectangle with 4 green squares
(v) Yellow triangle

Boxed Answer:
\[
\boxed{\text{Red star, Blue arrow pointing right, Orange plus sign, Blue rectangle with 4 green squares, Yellow triangle}}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet for 3rd.
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